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Composition of Functions Answers

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What is f(g(13))?

The function is undefined.

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+ -2020✔ -40 x

-20

✔ -40

+ X 50✔ -5025

X 50

✔ -50

What is f(g(0))?

-1

This composition is undefined.

Given: f(x) [image 1] and g(x) [image 2] The composite function [image 3] is X x² + 2x - 2x² + 2x✔ x² - 2.

X x² + 2x - 2

x² + 2x

✔ x² - 2

What are the restrictions of the domain of f(g(x))?

x -5

x -3

x 2

There are no restrictions.

h(g(f(x))) = ✔ -848 x²

✔ -8

What is f(f(x))?

x4 + 2x2 + 1

x4 + 2x2 + 2

x4 + 2

x4 + 1

Given: [image 1] .What are the restrictions on the domain of [image 2] ? [image 3]

Answer:

x ≥ 6

What is g(h(10))?

Option

es001-1.jpg

Answer:

Explain how to write a composite function to find the area of the region at time t.

Answer:

To write a composite function for the area at time t, you first identify the area formula as a function of the radius, A(r) = πr², and the radius as a function of time, r(t). Then, you substitute the expression for r(t) into the area formula in place of the variable r. This creates the composition A(r(t)), which can be written as A(r(t)) = π(r(t))².

What did you include in your answer?

Option